- A rhombus is a parallelogram in which all sides are equal i.e AB = BC = CD = CA
- Let ∠ A be x. In the ∆ ABC , AB = AC which means they are isosceles triangle and we know the opposite angles of isosceles triangle are equal i.e ∠ A = ∠ C = x.
- The sum of angles of a triangle is always 180°. Now , Find out the value of x :
- The value of x is 41°. Now , Find the measure of ∠ 1 :
[ Being alternate angles ]
- Hence , Our final answer is 41° .
- Alternate angles are the non-adjacent interiors pair of angles lying to the opposite side of a transversal when it intersects two straight line segments. Alternate angles form ' Z ' shape.
- Hope I helped! Let me know if you have any questions regarding my answer. :)